88411541990400 has 660 divisors, whose sum is σ = 329093037947520. Its totient is φ = 23452869427200.

The previous prime is 88411541990389. The next prime is 88411541990459. The reversal of 88411541990400 is 409914511488.

88411541990400 is a `hidden beast` number, since 8 + 8 + 4 + 1 + 1 + 541 + 9 + 90 + 4 + 0 + 0 = 666.

88411541990400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 395945986 + ... + 396169214.

It is an arithmetic number, because the mean of its divisors is an integer number (498625815072).

Almost surely, 2^{88411541990400} is an apocalyptic number.

88411541990400 is a gapful number since it is divisible by the number (80) 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 88411541990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164546518973760).

88411541990400 is an abundant number, since it is smaller than the sum of its proper divisors (240681495957120).

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

88411541990400 is a wasteful number, since it uses less digits than its factorization.

88411541990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223462 (or 223430 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 88411541990400 in words is "eighty-eight trillion, four hundred eleven billion, five hundred forty-one million, nine hundred ninety thousand, four hundred".