4570240676400 has 420 divisors, whose sum is σ = 18814264370032. Its totient is φ = 1044625973760.

The previous prime is 4570240676377. The next prime is 4570240676461. The reversal of 4570240676400 is 46760420754.

4570240676400 is a `hidden beast` number, since 4 + 570 + 2 + 4 + 0 + 6 + 76 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×4570240676400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 921702 + ... + 3160698.

Almost surely, 2^{4570240676400} is an apocalyptic number.

4570240676400 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 4570240676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407132185016).

4570240676400 is an abundant number, since it is smaller than the sum of its proper divisors (14244023693632).

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

4570240676400 is a wasteful number, since it uses less digits than its factorization.

4570240676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239040 (or 2239014 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 4570240676400 in words is "four trillion, five hundred seventy billion, two hundred forty million, six hundred seventy-six thousand, four hundred".