40643954402688 has 896 divisors, whose sum is σ = 149569474897920. Its totient is φ = 10708237283328.

The previous prime is 40643954402651. The next prime is 40643954402819. The reversal of 40643954402688 is 88620445934604.

It is a happy number.

40643954402688 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 3 + 9 + 544 + 0 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11268075381 + ... + 11268078987.

It is an arithmetic number, because the mean of its divisors is an integer number (166930217520).

Almost surely, 2^{40643954402688} is an apocalyptic number.

40643954402688 is a gapful number since it is divisible by the number (48) 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 40643954402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74784737448960).

40643954402688 is an abundant number, since it is smaller than the sum of its proper divisors (108925520495232).

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

40643954402688 is a wasteful number, since it uses less digits than its factorization.

40643954402688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 40643954402688 in words is "forty trillion, six hundred forty-three billion, nine hundred fifty-four million, four hundred two thousand, six hundred eighty-eight".