99035402400 has 1296 divisors, whose sum is σ = 419255665920. Its totient is φ = 21897216000.

The previous prime is 99035402371. The next prime is 99035402429. The reversal of 99035402400 is 420453099.

99035402400 is a `hidden beast` number, since 9 + 90 + 3 + 540 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99035402371) and next prime (99035402429).

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

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, 513136704 + ... + 513136896.

Almost surely, 2^99035402400 is an apocalyptic number.

99035402400 is a gapful number since it is divisible by the number (90) 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 99035402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209627832960).

99035402400 is an abundant number, since it is smaller than the sum of its proper divisors (320220263520).

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

99035402400 is a wasteful number, since it uses less digits than its factorization.

99035402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 99035402400 its reverse (420453099), we get a palindrome (99455855499).

The spelling of 99035402400 in words is "ninety-nine billion, thirty-five million, four hundred two thousand, four hundred".