40013454400 has 84 divisors (see below), whose sum is σ = 98497519540. Its totient is φ = 15998976000.

The previous prime is 40013454391. The next prime is 40013454431. The reversal of 40013454400 is 445431004.

It can be written as a sum of positive squares in 6 ways, for example, as 1913537536 + 38099916864 = 43744^2 + 195192^2 .

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, 7678996 + ... + 7684204.

Almost surely, 2^40013454400 is an apocalyptic number.

40013454400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40013454400 is an abundant number, since it is smaller than the sum of its proper divisors (58484065140).

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

40013454400 is a wasteful number, since it uses less digits than its factorization.

40013454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10032 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 40013454400 its reverse (445431004), we get a palindrome (40458885404).

The spelling of 40013454400 in words is "forty billion, thirteen million, four hundred fifty-four thousand, four hundred".