1552147418400 has 288 divisors, whose sum is σ = 5120515891008. Its totient is φ = 408349900800.

The previous prime is 1552147418363. The next prime is 1552147418401. The reversal of 1552147418400 is 48147412551.

It is not an unprimeable number, because it can be changed into a prime (1552147418401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53579920 + ... + 53608880.

It is an arithmetic number, because the mean of its divisors is an integer number (17779569066).

Almost surely, 2^{1552147418400} is an apocalyptic number.

1552147418400 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 1552147418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560257945504).

1552147418400 is an abundant number, since it is smaller than the sum of its proper divisors (3568368472608).

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

1552147418400 is a wasteful number, since it uses less digits than its factorization.

1552147418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29284 (or 29271 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 1552147418400 in words is "one trillion, five hundred fifty-two billion, one hundred forty-seven million, four hundred eighteen thousand, four hundred".