424972154880 has 2304 divisors, whose sum is σ = 2007742464000. Its totient is φ = 84276412416.

The previous prime is 424972154879. The next prime is 424972154897. The reversal of 424972154880 is 88451279424.

424972154880 is a `hidden beast` number, since 4 + 2 + 4 + 97 + 2 + 1 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3346237377 + ... + 3346237503.

It is an arithmetic number, because the mean of its divisors is an integer number (871416000).

Almost surely, 2^424972154880 is an apocalyptic number.

424972154880 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 424972154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232000).

424972154880 is an abundant number, since it is smaller than the sum of its proper divisors (1582770309120).

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

424972154880 is a wasteful number, since it uses less digits than its factorization.

424972154880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 424972154880 in words is "four hundred twenty-four billion, nine hundred seventy-two million, one hundred fifty-four thousand, eight hundred eighty".