4442607545400 has 384 divisors, whose sum is σ = 16399207526400. Its totient is φ = 1102559040000.

The previous prime is 4442607545399. The next prime is 4442607545413. The reversal of 4442607545400 is 45457062444.

It is a happy number.

4442607545400 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 60 + 7 + 545 + 40 + 0 = 666.

It is a super-2 number, since 2×4442607545400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4112025 + ... + 5078775.

It is an arithmetic number, because the mean of its divisors is an integer number (42706269600).

Almost surely, 2^{4442607545400} is an apocalyptic number.

4442607545400 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 4442607545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199603763200).

4442607545400 is an abundant number, since it is smaller than the sum of its proper divisors (11956599981000).

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

4442607545400 is a wasteful number, since it uses less digits than its factorization.

4442607545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966836 (or 966821 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 4442607545400 in words is "four trillion, four hundred forty-two billion, six hundred seven million, five hundred forty-five thousand, four hundred".