496119655127040 has 3456 divisors, whose sum is σ = 2081923170163200. Its totient is φ = 100263662714880.

The previous prime is 496119655127011. The next prime is 496119655127071. The reversal of 496119655127040 is 40721556911694.

It is a super-2 number, since 2×496119655127040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1595240048485 + ... + 1595240048795.

It is an arithmetic number, because the mean of its divisors is an integer number (602408324700).

Almost surely, 2^{496119655127040} is an apocalyptic number.

496119655127040 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 496119655127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040961585081600).

496119655127040 is an abundant number, since it is smaller than the sum of its proper divisors (1585803515036160).

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

496119655127040 is a wasteful number, since it uses less digits than its factorization.

496119655127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 496119655127040 in words is "four hundred ninety-six trillion, one hundred nineteen billion, six hundred fifty-five million, one hundred twenty-seven thousand, forty".