190420462440 has 512 divisors, whose sum is σ = 693245952000. Its totient is φ = 46214074368.

The previous prime is 190420462433. The next prime is 190420462459. The reversal of 190420462440 is 44264024091.

It is a happy number.

190420462440 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 20 + 4 + 624 + 4 + 0 = 666.

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 = 190420462395 and 190420462404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 479648322 + ... + 479648718.

It is an arithmetic number, because the mean of its divisors is an integer number (1353996000).

Almost surely, 2^190420462440 is an apocalyptic number.

190420462440 is a gapful number since it is divisible by the number (10) 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 190420462440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346622976000).

190420462440 is an abundant number, since it is smaller than the sum of its proper divisors (502825489560).

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

190420462440 is a wasteful number, since it uses less digits than its factorization.

190420462440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 190420462440 in words is "one hundred ninety billion, four hundred twenty million, four hundred sixty-two thousand, four hundred forty".