90395807040 has 1344 divisors, whose sum is σ = 416299253760. Its totient is φ = 17444782080.

The previous prime is 90395807011. The next prime is 90395807101. The reversal of 90395807040 is 4070859309.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188717521 + ... + 188717999.

Almost surely, 2^90395807040 is an apocalyptic number.

90395807040 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 90395807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208149626880).

90395807040 is an abundant number, since it is smaller than the sum of its proper divisors (325903446720).

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

90395807040 is a wasteful number, since it uses less digits than its factorization.

90395807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 90395807040 in words is "ninety billion, three hundred ninety-five million, eight hundred seven thousand, forty".