5041766400 has 360 divisors, whose sum is σ = 18235228704. Its totient is φ = 1218969600.

The previous prime is 5041766399. The next prime is 5041766419. The reversal of 5041766400 is 46671405.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13516614 + ... + 13516986.

Almost surely, 2^5041766400 is an apocalyptic number.

5041766400 is a gapful number since it is divisible by the number (50) 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 5041766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117614352).

5041766400 is an abundant number, since it is smaller than the sum of its proper divisors (13193462304).

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

5041766400 is a wasteful number, since it uses less digits than its factorization.

5041766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5041766400 is about 71005.3969779763. The cubic root of 5041766400 is about 1714.7240529877.

The spelling of 5041766400 in words is "five billion, forty-one million, seven hundred sixty-six thousand, four hundred".