56143390343040 has 5120 divisors, whose sum is σ = 294373690490880. Its totient is φ = 9803582668800.

The previous prime is 56143390342987. The next prime is 56143390343059. The reversal of 56143390343040 is 4034309334165.

56143390343040 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 339 + 0 + 3 + 4 + 304 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 27346998654 + ... + 27347000706.

It is an arithmetic number, because the mean of its divisors is an integer number (57494861424).

Almost surely, 2^{56143390343040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56143390343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147186845245440).

56143390343040 is an abundant number, since it is smaller than the sum of its proper divisors (238230300147840).

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

56143390343040 is a wasteful number, since it uses less digits than its factorization.

56143390343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 56143390343040 in words is "fifty-six trillion, one hundred forty-three billion, three hundred ninety million, three hundred forty-three thousand, forty".