4301423870400 has 1008 divisors, whose sum is σ = 16446759673344. Its totient is φ = 1104829009920.

The previous prime is 4301423870369. The next prime is 4301423870441. The reversal of 4301423870400 is 40783241034.

4301423870400 is a `hidden beast` number, since 4 + 3 + 0 + 14 + 238 + 7 + 0 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1481715349 + ... + 1481718251.

Almost surely, 2^{4301423870400} is an apocalyptic number.

4301423870400 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 4301423870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223379836672).

4301423870400 is an abundant number, since it is smaller than the sum of its proper divisors (12145335802944).

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

4301423870400 is a wasteful number, since it uses less digits than its factorization.

4301423870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 4301423870400 in words is "four trillion, three hundred one billion, four hundred twenty-three million, eight hundred seventy thousand, four hundred".