1225688738400 has 1152 divisors, whose sum is σ = 5505247641600. Its totient is φ = 256831948800.

The previous prime is 1225688738387. The next prime is 1225688738411. The reversal of 1225688738400 is 48378865221.

1225688738400 is a `hidden beast` number, since 1 + 2 + 2 + 568 + 8 + 7 + 38 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89049919 + ... + 89063681.

It is an arithmetic number, because the mean of its divisors is an integer number (4778860800).

Almost surely, 2^{1225688738400} is an apocalyptic number.

1225688738400 is a gapful number since it is divisible by the number (10) 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 1225688738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752623820800).

1225688738400 is an abundant number, since it is smaller than the sum of its proper divisors (4279558903200).

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

1225688738400 is a wasteful number, since it uses less digits than its factorization.

1225688738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13849 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1225688738400 in words is "one trillion, two hundred twenty-five billion, six hundred eighty-eight million, seven hundred thirty-eight thousand, four hundred".