424031155445200 has 240 divisors, whose sum is σ = 1075440295987200. Its totient is φ = 160456900032000.

The previous prime is 424031155445123. The next prime is 424031155445239. The reversal of 424031155445200 is 2544551130424.

It is a super-2 number, since 2×424031155445200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106886751 + ... + 110782849.

It is an arithmetic number, because the mean of its divisors is an integer number (4481001233280).

Almost surely, 2^{424031155445200} is an apocalyptic number.

424031155445200 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 424031155445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537720147993600).

424031155445200 is an abundant number, since it is smaller than the sum of its proper divisors (651409140542000).

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

424031155445200 is a wasteful number, since it uses less digits than its factorization.

424031155445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896346 (or 3896335 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 424031155445200 in words is "four hundred twenty-four trillion, thirty-one billion, one hundred fifty-five million, four hundred forty-five thousand, two hundred".