190005602040 has 256 divisors, whose sum is σ = 680057856000. Its totient is φ = 47015700480.

The previous prime is 190005601999. The next prime is 190005602051. The reversal of 190005602040 is 40206500091.

190005602040 is a `hidden beast` number, since 19 + 0 + 0 + 0 + 5 + 602 + 0 + 40 = 666.

It is a super-2 number, since 2×190005602040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 190005601995 and 190005602013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230681 + ... + 1376439.

It is an arithmetic number, because the mean of its divisors is an integer number (2656476000).

Almost surely, 2^190005602040 is an apocalyptic number.

190005602040 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 190005602040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340028928000).

190005602040 is an abundant number, since it is smaller than the sum of its proper divisors (490052253960).

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

190005602040 is a wasteful number, since it uses less digits than its factorization.

190005602040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145867 (or 145857 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 190005602040 in words is "one hundred ninety billion, five million, six hundred two thousand, forty".