4161554400 has 72 divisors (see below), whose sum is σ = 13545867384. Its totient is φ = 1109747200.

The previous prime is 4161554399. The next prime is 4161554429. The reversal of 4161554400 is 44551614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864591 + ... + 869390.

It is an arithmetic number, because the mean of its divisors is an integer number (188137047).

Almost surely, 2^4161554400 is an apocalyptic number.

4161554400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4161554400 is an abundant number, since it is smaller than the sum of its proper divisors (9384312984).

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

4161554400 is a wasteful number, since it uses less digits than its factorization.

4161554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734004 (or 1733991 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4161554400 is about 64510.1108354342. The cubic root of 4161554400 is about 1608.4905931106.

The spelling of 4161554400 in words is "four billion, one hundred sixty-one million, five hundred fifty-four thousand, four hundred".