40714433195520 has 960 divisors, whose sum is σ = 158306522305536. Its totient is φ = 8742748815360.

The previous prime is 40714433195519. The next prime is 40714433195521. The reversal of 40714433195520 is 2559133441704.

It is an interprime number because it is at equal distance from previous prime (40714433195519) and next prime (40714433195521).

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40714433195520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40714433195521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9803617764 + ... + 9803621916.

Almost surely, 2^{40714433195520} is an apocalyptic number.

40714433195520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40714433195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79153261152768).

40714433195520 is an abundant number, since it is smaller than the sum of its proper divisors (117592089110016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40714433195520 is a wasteful number, since it uses less digits than its factorization.

40714433195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 40714433195520 in words is "forty trillion, seven hundred fourteen billion, four hundred thirty-three million, one hundred ninety-five thousand, five hundred twenty".