421216070400 has 540 divisors, whose sum is σ = 1568033170704. Its totient is φ = 111559680000.

The previous prime is 421216070383. The next prime is 421216070417. The reversal of 421216070400 is 4070612124.

421216070400 is a `hidden beast` number, since 4 + 2 + 12 + 1 + 607 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (421216070383) and next prime (421216070417).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78275710 + ... + 78281090.

Almost surely, 2^421216070400 is an apocalyptic number.

421216070400 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 421216070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784016585352).

421216070400 is an abundant number, since it is smaller than the sum of its proper divisors (1146817100304).

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

421216070400 is a wasteful number, since it uses less digits than its factorization.

421216070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 421216070400 its reverse (4070612124), we get a palindrome (425286682524).

The spelling of 421216070400 in words is "four hundred twenty-one billion, two hundred sixteen million, seventy thousand, four hundred".