4507661400 has 288 divisors, whose sum is σ = 15896638800. Its totient is φ = 1054592000.

The previous prime is 4507661381. The next prime is 4507661413. The reversal of 4507661400 is 41667054.

It is a super-2 number, since 2×4507661400² = 40638022594099920000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2104330 + ... + 2106470.

Almost surely, 2^4507661400 is an apocalyptic number.

4507661400 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 4507661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948319400).

4507661400 is an abundant number, since it is smaller than the sum of its proper divisors (11388977400).

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

4507661400 is a wasteful number, since it uses less digits than its factorization.

4507661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2191 counting only the distinct ones).

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

The square root of 4507661400 is about 67139.1197440062. The cubic root of 4507661400 is about 1651.9000334266.

The spelling of 4507661400 in words is "four billion, five hundred seven million, six hundred sixty-one thousand, four hundred".