40379097600 has 360 divisors, whose sum is σ = 145027988820. Its totient is φ = 10728898560.

The previous prime is 40379097589. The next prime is 40379097607. The reversal of 40379097600 is 679097304.

40379097600 is a `hidden beast` number, since 4 + 0 + 37 + 9 + 0 + 9 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33427540224 + 6951557376 = 182832^2 + 83376^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40379097607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47116372 + ... + 47117228.

Almost surely, 2^40379097600 is an apocalyptic number.

40379097600 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 40379097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72513994410).

40379097600 is an abundant number, since it is smaller than the sum of its proper divisors (104648891220).

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

40379097600 is a wasteful number, since it uses less digits than its factorization.

40379097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 40379097600 in words is "forty billion, three hundred seventy-nine million, ninety-seven thousand, six hundred".