496898632440 has 768 divisors, whose sum is σ = 2022394832640. Its totient is φ = 103219200000.

The previous prime is 496898632427. The next prime is 496898632459. The reversal of 496898632440 is 44236898694.

496898632440 is a `hidden beast` number, since 4 + 9 + 6 + 89 + 86 + 32 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177399040 + ... + 177401840.

It is an arithmetic number, because the mean of its divisors is an integer number (2633326605).

Almost surely, 2^496898632440 is an apocalyptic number.

496898632440 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 496898632440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011197416320).

496898632440 is an abundant number, since it is smaller than the sum of its proper divisors (1525496200200).

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

496898632440 is a wasteful number, since it uses less digits than its factorization.

496898632440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 496898632440 in words is "four hundred ninety-six billion, eight hundred ninety-eight million, six hundred thirty-two thousand, four hundred forty".