5407001400 has 192 divisors, whose sum is σ = 17427456000. Its totient is φ = 1385280000.

The previous prime is 5407001381. The next prime is 5407001471. The reversal of 5407001400 is 41007045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770425 + ... + 2772375.

It is an arithmetic number, because the mean of its divisors is an integer number (90768000).

Almost surely, 2^5407001400 is an apocalyptic number.

5407001400 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 5407001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713728000).

5407001400 is an abundant number, since it is smaller than the sum of its proper divisors (12020454600).

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

5407001400 is a wasteful number, since it uses less digits than its factorization.

5407001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 5407001400 is about 73532.3153450236. The cubic root of 5407001400 is about 1755.1685457563.

Adding to 5407001400 its reverse (41007045), we get a palindrome (5448008445).

The spelling of 5407001400 in words is "five billion, four hundred seven million, one thousand, four hundred".