40641048556416 has 1024 divisors, whose sum is σ = 155357208576000. Its totient is φ = 10150205644800.

The previous prime is 40641048556337. The next prime is 40641048556477. The reversal of 40641048556416 is 61465584014604.

40641048556416 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 1 + 0 + 48 + 556 + 41 + 6 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1295151415 + ... + 1295182793.

It is an arithmetic number, because the mean of its divisors is an integer number (151716024000).

Almost surely, 2^{40641048556416} 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 40641048556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77678604288000).

40641048556416 is an abundant number, since it is smaller than the sum of its proper divisors (114716160019584).

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

40641048556416 is a wasteful number, since it uses less digits than its factorization.

40641048556416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31608 (or 31590 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 40641048556416 in words is "forty trillion, six hundred forty-one billion, forty-eight million, five hundred fifty-six thousand, four hundred sixteen".