7212436070400 has 1008 divisors, whose sum is σ = 28415664995328. Its totient is φ = 1734082560000.

The previous prime is 7212436070393. The next prime is 7212436070503. The reversal of 7212436070400 is 40706342127.

7212436070400 is a `hidden beast` number, since 7 + 2 + 1 + 2 + 4 + 3 + 607 + 0 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2574949000 + ... + 2574951800.

Almost surely, 2^{7212436070400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7212436070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207832497664).

7212436070400 is an abundant number, since it is smaller than the sum of its proper divisors (21203228924928).

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

7212436070400 is a wasteful number, since it uses less digits than its factorization.

7212436070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 7212436070400 in words is "seven trillion, two hundred twelve billion, four hundred thirty-six million, seventy thousand, four hundred".