1082400473088 has 768 divisors, whose sum is σ = 3805580750400. Its totient is φ = 292175216640.

The previous prime is 1082400473041. The next prime is 1082400473101. The reversal of 1082400473088 is 8803740042801.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1082400473088² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047821820 + ... + 1047822852.

Almost surely, 2^{1082400473088} is an apocalyptic number.

1082400473088 is a gapful number since it is divisible by the number (18) 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 1082400473088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902790375200).

1082400473088 is an abundant number, since it is smaller than the sum of its proper divisors (2723180277312).

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

1082400473088 is a wasteful number, since it uses less digits than its factorization.

1082400473088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1082400473088 in words is "one trillion, eighty-two billion, four hundred million, four hundred seventy-three thousand, eighty-eight".