88484400829440 has 3520 divisors, whose sum is σ = 406859781081600. Its totient is φ = 18228675870720.

The previous prime is 88484400829423. The next prime is 88484400829459. The reversal of 88484400829440 is 4492800448488.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 301994541934 + ... + 301994542226.

It is an arithmetic number, because the mean of its divisors is an integer number (115585165080).

Almost surely, 2^{88484400829440} is an apocalyptic number.

88484400829440 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 88484400829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203429890540800).

88484400829440 is an abundant number, since it is smaller than the sum of its proper divisors (318375380252160).

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

88484400829440 is a wasteful number, since it uses less digits than its factorization.

88484400829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 63.

The spelling of 88484400829440 in words is "eighty-eight trillion, four hundred eighty-four billion, four hundred million, eight hundred twenty-nine thousand, four hundred forty".