4933156400640 has 2400 divisors, whose sum is σ = 20876349542400. Its totient is φ = 1108636139520.

The previous prime is 4933156400581. The next prime is 4933156400663. The reversal of 4933156400640 is 460046513394.

4933156400640 is a `hidden beast` number, since 4 + 9 + 33 + 156 + 400 + 64 + 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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20640821641 + ... + 20640821879.

It is an arithmetic number, because the mean of its divisors is an integer number (8698478976).

Almost surely, 2^{4933156400640} is an apocalyptic number.

4933156400640 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 4933156400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438174771200).

4933156400640 is an abundant number, since it is smaller than the sum of its proper divisors (15943193141760).

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

4933156400640 is a wasteful number, since it uses less digits than its factorization.

4933156400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 4933156400640 in words is "four trillion, nine hundred thirty-three billion, one hundred fifty-six million, four hundred thousand, six hundred forty".