4792919040 has 880 divisors, whose sum is σ = 21305044992. Its totient is φ = 1003290624.

The previous prime is 4792919017. The next prime is 4792919041. The reversal of 4792919040 is 409192974.

It is a happy number.

4792919040 is a `hidden beast` number, since 479 + 2 + 91 + 90 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4792919041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739457 + ... + 37739583.

Almost surely, 2^4792919040 is an apocalyptic number.

4792919040 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 4792919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652522496).

4792919040 is an abundant number, since it is smaller than the sum of its proper divisors (16512125952).

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

4792919040 is a wasteful number, since it uses less digits than its factorization.

4792919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 4792919040 is about 69230.9110152394. The cubic root of 4792919040 is about 1686.0354344701.

The spelling of 4792919040 in words is "four billion, seven hundred ninety-two million, nine hundred nineteen thousand, forty".