4407420874752 has 1248 divisors, whose sum is σ = 16156902408192. Its totient is φ = 1171843448832.

The previous prime is 4407420874651. The next prime is 4407420874757. The reversal of 4407420874752 is 2574780247044.

4407420874752 is a `hidden beast` number, since 4 + 4 + 0 + 74 + 20 + 87 + 475 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407420874757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15042391918 + ... + 15042392210.

It is an arithmetic number, because the mean of its divisors is an integer number (12946235904).

Almost surely, 2^{4407420874752} is an apocalyptic number.

4407420874752 is a gapful number since it is divisible by the number (42) 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 4407420874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078451204096).

4407420874752 is an abundant number, since it is smaller than the sum of its proper divisors (11749481533440).

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

4407420874752 is a wasteful number, since it uses less digits than its factorization.

4407420874752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 14049280, while the sum is 54.

The spelling of 4407420874752 in words is "four trillion, four hundred seven billion, four hundred twenty million, eight hundred seventy-four thousand, seven hundred fifty-two".