1542327998400 has 1512 divisors, whose sum is σ = 6709595714640. Its totient is φ = 347389378560.

The previous prime is 1542327998381. The next prime is 1542327998417. The reversal of 1542327998400 is 48997232451.

1542327998400 is a `hidden beast` number, since 1 + 54 + 2 + 32 + 79 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 1390737046 + ... + 1390738154.

Almost surely, 2^{1542327998400} is an apocalyptic number.

1542327998400 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 1542327998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354797857320).

1542327998400 is an abundant number, since it is smaller than the sum of its proper divisors (5167267716240).

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

1542327998400 is a wasteful number, since it uses less digits than its factorization.

1542327998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1542327998400 in words is "one trillion, five hundred forty-two billion, three hundred twenty-seven million, nine hundred ninety-eight thousand, four hundred".