40414398923040 has 384 divisors, whose sum is σ = 133339581333504. Its totient is φ = 10276707840000.

The previous prime is 40414398923021. The next prime is 40414398923081. The reversal of 40414398923040 is 4032989341404.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2008358419 + ... + 2008378541.

It is an arithmetic number, because the mean of its divisors is an integer number (347238493056).

Almost surely, 2^{40414398923040} is an apocalyptic number.

40414398923040 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 40414398923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66669790666752).

40414398923040 is an abundant number, since it is smaller than the sum of its proper divisors (92925182410464).

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

40414398923040 is a wasteful number, since it uses less digits than its factorization.

40414398923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22144 (or 22136 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 40414398923040 in words is "forty trillion, four hundred fourteen billion, three hundred ninety-eight million, nine hundred twenty-three thousand, forty".