4957070400 has 420 divisors, whose sum is σ = 19024591872. Its totient is φ = 1263651840.

The previous prime is 4957070387. The next prime is 4957070411. The reversal of 4957070400 is 40707594.

It is a happy number.

4957070400 is a `hidden beast` number, since 49 + 570 + 7 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2979969 + ... + 2981631.

Almost surely, 2^4957070400 is an apocalyptic number.

4957070400 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 4957070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512295936).

4957070400 is an abundant number, since it is smaller than the sum of its proper divisors (14067521472).

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

4957070400 is a wasteful number, since it uses less digits than its factorization.

4957070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4957070400 is about 70406.4656121865. The cubic root of 4957070400 is about 1705.0679676955.

Adding to 4957070400 its reverse (40707594), we get a palindrome (4997777994).

The spelling of 4957070400 in words is "four billion, nine hundred fifty-seven million, seventy thousand, four hundred".