40962488426904 has 192 divisors, whose sum is σ = 115275100631040. Its totient is φ = 12028719386880.

The previous prime is 40962488426819. The next prime is 40962488426983.

40962488426904 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 61662894 + ... + 62323650.

It is an arithmetic number, because the mean of its divisors is an integer number (600391149120).

Almost surely, 2^{40962488426904} is an apocalyptic number.

40962488426904 is a gapful number since it is divisible by the number (44) 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 40962488426904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57637550315520).

40962488426904 is an abundant number, since it is smaller than the sum of its proper divisors (74312612204136).

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

40962488426904 is a wasteful number, since it uses less digits than its factorization.

40962488426904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660990 (or 660943 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 66.

The spelling of 40962488426904 in words is "forty trillion, nine hundred sixty-two billion, four hundred eighty-eight million, four hundred twenty-six thousand, nine hundred four".