40106614564704 has 192 divisors, whose sum is σ = 107668995517440. Its totient is φ = 13069089546240.

The previous prime is 40106614564673. The next prime is 40106614564759. The reversal of 40106614564704 is 40746541660104.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832115134 + ... + 832163330.

It is an arithmetic number, because the mean of its divisors is an integer number (560776018320).

Almost surely, 2^{40106614564704} 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 40106614564704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53834497758720).

40106614564704 is an abundant number, since it is smaller than the sum of its proper divisors (67562380952736).

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

40106614564704 is a wasteful number, since it uses less digits than its factorization.

40106614564704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49373 (or 49365 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 40106614564704 in words is "forty trillion, one hundred six billion, six hundred fourteen million, five hundred sixty-four thousand, seven hundred four".