42753211646400 has 168 divisors, whose sum is σ = 155851291131440. Its totient is φ = 11400856427520.

The previous prime is 42753211646381. The next prime is 42753211646407. The reversal of 42753211646400 is 464611235724.

42753211646400 is a `hidden beast` number, since 4 + 2 + 7 + 532 + 11 + 64 + 6 + 40 + 0 = 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 (42753211646407) 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, 494785639 + ... + 494872038.

Almost surely, 2^{42753211646400} is an apocalyptic number.

42753211646400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42753211646400 is an abundant number, since it is smaller than the sum of its proper divisors (113098079485040).

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

42753211646400 is a wasteful number, since it uses less digits than its factorization.

42753211646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989657708 (or 989657687 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42753211646400 in words is "forty-two trillion, seven hundred fifty-three billion, two hundred eleven million, six hundred forty-six thousand, four hundred".