1001523398400 has 2160 divisors, whose sum is σ = 4533983139840. Its totient is φ = 213199257600.

The previous prime is 1001523398399. The next prime is 1001523398423. The reversal of 1001523398400 is 48933251001.

1001523398400 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 523 + 3 + 98 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3262291047 + ... + 3262291353.

Almost surely, 2^{1001523398400} is an apocalyptic number.

1001523398400 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 1001523398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266991569920).

1001523398400 is an abundant number, since it is smaller than the sum of its proper divisors (3532459741440).

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

1001523398400 is a wasteful number, since it uses less digits than its factorization.

1001523398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1001523398400 in words is "one trillion, one billion, five hundred twenty-three million, three hundred ninety-eight thousand, four hundred".