416802497040 has 400 divisors, whose sum is σ = 1496501360640. Its totient is φ = 107404600320.

The previous prime is 416802497039. The next prime is 416802497053. The reversal of 416802497040 is 40794208614.

416802497040 is a `hidden beast` number, since 41 + 6 + 80 + 2 + 497 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 208713322 + ... + 208715318.

Almost surely, 2^416802497040 is an apocalyptic number.

416802497040 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 416802497040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748250680320).

416802497040 is an abundant number, since it is smaller than the sum of its proper divisors (1079698863600).

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

416802497040 is a wasteful number, since it uses less digits than its factorization.

416802497040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 416802497040 in words is "four hundred sixteen billion, eight hundred two million, four hundred ninety-seven thousand, forty".