40078007349120 has 1536 divisors, whose sum is σ = 157325977814400. Its totient is φ = 9635093544960.

The previous prime is 40078007349103. The next prime is 40078007349143. The reversal of 40078007349120 is 2194370087004.

40078007349120 is a `hidden beast` number, since 4 + 0 + 0 + 78 + 0 + 0 + 73 + 491 + 20 = 666.

It is a super-2 number, since 2×40078007349120² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27967903924 + ... + 27967905356.

Almost surely, 2^{40078007349120} is an apocalyptic number.

40078007349120 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 40078007349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78662988907200).

40078007349120 is an abundant number, since it is smaller than the sum of its proper divisors (117247970465280).

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

40078007349120 is a wasteful number, since it uses less digits than its factorization.

40078007349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40078007349120 in words is "forty trillion, seventy-eight billion, seven million, three hundred forty-nine thousand, one hundred twenty".