90074413440 has 768 divisors, whose sum is σ = 354086553600. Its totient is φ = 21076070400.

The previous prime is 90074413417. The next prime is 90074413463. The reversal of 90074413440 is 4431447009.

It is an interprime number because it is at equal distance from previous prime (90074413417) and next prime (90074413463).

It is a super-2 number, since 2×90074413440² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 90074413395 and 90074413404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237663171 + ... + 237663549.

It is an arithmetic number, because the mean of its divisors is an integer number (461050200).

Almost surely, 2^90074413440 is an apocalyptic number.

90074413440 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 90074413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177043276800).

90074413440 is an abundant number, since it is smaller than the sum of its proper divisors (264012140160).

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

90074413440 is a wasteful number, since it uses less digits than its factorization.

90074413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 90074413440 in words is "ninety billion, seventy-four million, four hundred thirteen thousand, four hundred forty".