40934978900820 has 384 divisors, whose sum is σ = 137502417024000. Its totient is φ = 10079165859840.

The previous prime is 40934978900807. The next prime is 40934978900821. The reversal of 40934978900820 is 2800987943904.

40934978900820 is a `hidden beast` number, since 40 + 9 + 3 + 497 + 89 + 0 + 0 + 8 + 20 = 666.

It is a super-2 number, since 2×40934978900820² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40934978900821) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2240670646 + ... + 2240688914.

It is an arithmetic number, because the mean of its divisors is an integer number (358079211000).

Almost surely, 2^{40934978900820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40934978900820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68751208512000).

40934978900820 is an abundant number, since it is smaller than the sum of its proper divisors (96567438123180).

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

40934978900820 is a wasteful number, since it uses less digits than its factorization.

40934978900820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24560 (or 24552 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 40934978900820 in words is "forty trillion, nine hundred thirty-four billion, nine hundred seventy-eight million, nine hundred thousand, eight hundred twenty".