40151944415520 has 288 divisors, whose sum is σ = 156600091065600. Its totient is φ = 9177147279360.

The previous prime is 40151944415501. The next prime is 40151944415563. The reversal of 40151944415520 is 2551444915104.

40151944415520 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 1 + 94 + 4 + 4 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40151944415520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240132906 + ... + 240300054.

It is an arithmetic number, because the mean of its divisors is an integer number (543750316200).

Almost surely, 2^{40151944415520} is an apocalyptic number.

40151944415520 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 40151944415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78300045532800).

40151944415520 is an abundant number, since it is smaller than the sum of its proper divisors (116448146650080).

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

40151944415520 is a wasteful number, since it uses less digits than its factorization.

40151944415520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191008 (or 190997 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 40151944415520 in words is "forty trillion, one hundred fifty-one billion, nine hundred forty-four million, four hundred fifteen thousand, five hundred twenty".