190487082240 has 1152 divisors, whose sum is σ = 854963665920. Its totient is φ = 39080558592.

The previous prime is 190487082229. The next prime is 190487082251. The reversal of 190487082240 is 42280784091.

190487082240 is a `hidden beast` number, since 1 + 90 + 487 + 0 + 82 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (190487082229) and next prime (190487082251).

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116362702 + ... + 116364338.

It is an arithmetic number, because the mean of its divisors is an integer number (742155960).

Almost surely, 2^190487082240 is an apocalyptic number.

190487082240 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 190487082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427481832960).

190487082240 is an abundant number, since it is smaller than the sum of its proper divisors (664476583680).

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

190487082240 is a wasteful number, since it uses less digits than its factorization.

190487082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 190487082240 in words is "one hundred ninety billion, four hundred eighty-seven million, eighty-two thousand, two hundred forty".