40501992960000 has 3120 divisors, whose sum is σ = 181069622173440. Its totient is φ = 8573091840000.

The previous prime is 40501992959969. The next prime is 40501992960001. The reversal of 40501992960000 is 6929910504.

40501992960000 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 19 + 9 + 29 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a super-2 number, since 2×40501992960000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40501992960001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62599679677 + ... + 62599680323.

It is an arithmetic number, because the mean of its divisors is an integer number (58035135312).

Almost surely, 2^{40501992960000} is an apocalyptic number.

40501992960000 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 40501992960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90534811086720).

40501992960000 is an abundant number, since it is smaller than the sum of its proper divisors (140567629213440).

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

40501992960000 is a wasteful number, since it uses less digits than its factorization.

40501992960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 40501992960000 in words is "forty trillion, five hundred one billion, nine hundred ninety-two million, nine hundred sixty thousand".