40379936081400 has 960 divisors, whose sum is σ = 144987180940800. Its totient is φ = 10410155458560.

The previous prime is 40379936081321. The next prime is 40379936081423. The reversal of 40379936081400 is 418063997304.

It is a happy number.

40379936081400 is a `hidden beast` number, since 4 + 0 + 3 + 79 + 93 + 6 + 0 + 81 + 400 = 666.

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 239 ways as a sum of consecutive naturals, for example, 47008074171 + ... + 47008075029.

It is an arithmetic number, because the mean of its divisors is an integer number (151028313480).

Almost surely, 2^{40379936081400} is an apocalyptic number.

40379936081400 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 40379936081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72493590470400).

40379936081400 is an abundant number, since it is smaller than the sum of its proper divisors (104607244859400).

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

40379936081400 is a wasteful number, since it uses less digits than its factorization.

40379936081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 40379936081400 in words is "forty trillion, three hundred seventy-nine billion, nine hundred thirty-six million, eighty-one thousand, four hundred".