5742400440 has 64 divisors (see below), whose sum is σ = 19688232960. Its totient is φ = 1312548480.

The previous prime is 5742400393. The next prime is 5742400459. The reversal of 5742400440 is 440042475.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5742400398 and 5742400407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3417256 + ... + 3418935.

It is an arithmetic number, because the mean of its divisors is an integer number (307628640).

Almost surely, 2^5742400440 is an apocalyptic number.

It is an amenable number.

5742400440 is an abundant number, since it is smaller than the sum of its proper divisors (13945832520).

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

5742400440 is a wasteful number, since it uses less digits than its factorization.

5742400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836212 (or 6836208 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 5742400440 is about 75778.6278577278. The cubic root of 5742400440 is about 1790.7343241397.

The spelling of 5742400440 in words is "five billion, seven hundred forty-two million, four hundred thousand, four hundred forty".