40107342400 has 84 divisors (see below), whose sum is σ = 99666651060. Its totient is φ = 15884032000.

The previous prime is 40107342391. The next prime is 40107342479. The reversal of 40107342400 is 424370104.

It can be written as a sum of positive squares in 6 ways, for example, as 145733184 + 39961609216 = 12072^2 + 199904^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37506 + ... + 285694.

Almost surely, 2^40107342400 is an apocalyptic number.

40107342400 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 40107342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49833325530).

40107342400 is an abundant number, since it is smaller than the sum of its proper divisors (59559308660).

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

40107342400 is a wasteful number, since it uses less digits than its factorization.

40107342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248312 (or 248297 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The spelling of 40107342400 in words is "forty billion, one hundred seven million, three hundred forty-two thousand, four hundred".