498596408029440 has 2592 divisors, whose sum is σ = 2239671979569024. Its totient is φ = 105499353415680.

The previous prime is 498596408029439. The next prime is 498596408029451. The reversal of 498596408029440 is 44920804695894.

498596408029440 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 96 + 408 + 0 + 2 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15804859747 + ... + 15804891293.

It is an arithmetic number, because the mean of its divisors is an integer number (864070979772).

Almost surely, 2^{498596408029440} is an apocalyptic number.

498596408029440 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 498596408029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119835989784512).

498596408029440 is an abundant number, since it is smaller than the sum of its proper divisors (1741075571539584).

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

498596408029440 is a wasteful number, since it uses less digits than its factorization.

498596408029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31675 (or 31642 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 498596408029440 in words is "four hundred ninety-eight trillion, five hundred ninety-six billion, four hundred eight million, twenty-nine thousand, four hundred forty".