4977167040 has 224 divisors, whose sum is σ = 18483072000. Its totient is φ = 1257348096.

The previous prime is 4977167029. The next prime is 4977167051. The reversal of 4977167040 is 407617794.

It is an interprime number because it is at equal distance from previous prime (4977167029) and next prime (4977167051).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149001 + ... + 179319.

Almost surely, 2^4977167040 is an apocalyptic number.

4977167040 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 4977167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241536000).

4977167040 is an abundant number, since it is smaller than the sum of its proper divisors (13505904960).

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

4977167040 is a wasteful number, since it uses less digits than its factorization.

4977167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30364 (or 30348 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 4977167040 is about 70549.0399651193. The cubic root of 4977167040 is about 1707.3690536088.

The spelling of 4977167040 in words is "four billion, nine hundred seventy-seven million, one hundred sixty-seven thousand, forty".