4257255407040 has 168 divisors, whose sum is σ = 14724992028240. Its totient is φ = 1128925691904.

The previous prime is 4257255407017. The next prime is 4257255407047. The reversal of 4257255407040 is 407045527524.

4257255407040 is a `hidden beast` number, since 4 + 2 + 57 + 2 + 554 + 0 + 7 + 0 + 40 = 666.

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 (4257255407047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3613569 + ... + 4644608.

Almost surely, 2^{4257255407040} is an apocalyptic number.

4257255407040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4257255407040 is an abundant number, since it is smaller than the sum of its proper divisors (10467736621200).

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

4257255407040 is a wasteful number, since it uses less digits than its factorization.

4257255407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258379 (or 8258366 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 4257255407040 in words is "four trillion, two hundred fifty-seven billion, two hundred fifty-five million, four hundred seven thousand, forty".