490179133440 has 760 divisors, whose sum is σ = 1857485926560. Its totient is φ = 123834728448.

The previous prime is 490179133417. The next prime is 490179133481. The reversal of 490179133440 is 44331971094.

490179133440 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 79 + 133 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (760).

It is a super-3 number, since 3×490179133440³ (a number of 36 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 25798901751 + ... + 25798901769.

Almost surely, 2^490179133440 is an apocalyptic number.

490179133440 is a gapful number since it is divisible by the number (40) 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 490179133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928742963280).

490179133440 is an abundant number, since it is smaller than the sum of its proper divisors (1367306793120).

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

490179133440 is an frugal number, since it uses more digits than its factorization.

490179133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 490179133440 in words is "four hundred ninety billion, one hundred seventy-nine million, one hundred thirty-three thousand, four hundred forty".