424145376000 has 1152 divisors, whose sum is σ = 1686050795520. Its totient is φ = 104620032000.

The previous prime is 424145375981. The next prime is 424145376019. The reversal of 424145376000 is 673541424.

424145376000 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 45 + 3 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (424145375981) and next prime (424145376019).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 984095785 + ... + 984096215.

It is an arithmetic number, because the mean of its divisors is an integer number (1463585760).

Almost surely, 2^424145376000 is an apocalyptic number.

424145376000 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 424145376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843025397760).

424145376000 is an abundant number, since it is smaller than the sum of its proper divisors (1261905419520).

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

424145376000 is a wasteful number, since it uses less digits than its factorization.

424145376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 424145376000 in words is "four hundred twenty-four billion, one hundred forty-five million, three hundred seventy-six thousand".