90010405419 has 32 divisors (see below), whose sum is σ = 132812794368. Its totient is φ = 53765376000.

The previous prime is 90010405417. The next prime is 90010405451. The reversal of 90010405419 is 91450401009.

It is not a de Polignac number, because 90010405419 - 2¹ = 90010405417 is a prime.

It is a super-2 number, since 2×90010405419² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 90010405419.

It is not an unprimeable number, because it can be changed into a prime (90010405411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10944729 + ... + 10952949.

It is an arithmetic number, because the mean of its divisors is an integer number (4150399824).

Almost surely, 2^90010405419 is an apocalyptic number.

90010405419 is a deficient number, since it is larger than the sum of its proper divisors (42802388949).

90010405419 is a wasteful number, since it uses less digits than its factorization.

90010405419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12979.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 90010405419 in words is "ninety billion, ten million, four hundred five thousand, four hundred nineteen".