993742149400 has 384 divisors, whose sum is σ = 3177831605760. Its totient is φ = 278936064000.

The previous prime is 993742149397. The next prime is 993742149409. The reversal of 993742149400 is 4941247399.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993742149409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8147667 + ... + 8268733.

It is an arithmetic number, because the mean of its divisors is an integer number (8275603140).

Almost surely, 2^993742149400 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 993742149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588915802880).

993742149400 is an abundant number, since it is smaller than the sum of its proper divisors (2184089456360).

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

993742149400 is a wasteful number, since it uses less digits than its factorization.

993742149400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121155 (or 121146 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 993742149400 in words is "nine hundred ninety-three billion, seven hundred forty-two million, one hundred forty-nine thousand, four hundred".