498940041600 has 2304 divisors, whose sum is σ = 2482776092160. Its totient is φ = 95551488000.

The previous prime is 498940041571. The next prime is 498940041683. The reversal of 498940041600 is 6140049894.

498940041600 is a `hidden beast` number, since 4 + 9 + 89 + 400 + 4 + 160 + 0 = 666.

It is a super-2 number, since 2×498940041600² (a number of 24 digits) contains 22 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 287 ways as a sum of consecutive naturals, for example, 778377280 + ... + 778377920.

It is an arithmetic number, because the mean of its divisors is an integer number (1077593790).

Almost surely, 2^498940041600 is an apocalyptic number.

498940041600 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 498940041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241388046080).

498940041600 is an abundant number, since it is smaller than the sum of its proper divisors (1983836050560).

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

498940041600 is a wasteful number, since it uses less digits than its factorization.

498940041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 498940041600 in words is "four hundred ninety-eight billion, nine hundred forty million, forty-one thousand, six hundred".