4920156188640 has 864 divisors, whose sum is σ = 21112980557760. Its totient is φ = 1021334814720.

The previous prime is 4920156188599. The next prime is 4920156188677. The reversal of 4920156188640 is 468816510294.

4920156188640 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 15 + 618 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×4920156188640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2035644712 + ... + 2035647128.

It is an arithmetic number, because the mean of its divisors is an integer number (24436320090).

Almost surely, 2^{4920156188640} is an apocalyptic number.

4920156188640 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 4920156188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10556490278880).

4920156188640 is an abundant number, since it is smaller than the sum of its proper divisors (16192824369120).

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

4920156188640 is a wasteful number, since it uses less digits than its factorization.

4920156188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4920156188640 in words is "four trillion, nine hundred twenty billion, one hundred fifty-six million, one hundred eighty-eight thousand, six hundred forty".