40364400 has 60 divisors (see below), whose sum is σ = 129304472. Its totient is φ = 10763520.

The previous prime is 40364393. The next prime is 40364407. The reversal of 40364400 is 446304.

It is an interprime number because it is at equal distance from previous prime (40364393) and next prime (40364407).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40364407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15619 + ... + 18018.

Almost surely, 2^40364400 is an apocalyptic number.

40364400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40364400 is an abundant number, since it is smaller than the sum of its proper divisors (88940072).

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

40364400 is a wasteful number, since it uses less digits than its factorization.

40364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33658 (or 33647 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40364400 is about 6353.2983559723. The cubic root of 40364400 is about 343.0305769362.

The spelling of 40364400 in words is "forty million, three hundred sixty-four thousand, four hundred".