467293394478240 has 1152 divisors, whose sum is σ = 1839071385575424. Its totient is φ = 106986894336000.

The previous prime is 467293394478061. The next prime is 467293394478371. The reversal of 467293394478240 is 42874493392764.

467293394478240 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 9 + 339 + 4 + 47 + 8 + 240 = 666.

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 191 ways as a sum of consecutive naturals, for example, 26118899695 + ... + 26118917585.

It is an arithmetic number, because the mean of its divisors is an integer number (1596416133312).

Almost surely, 2^{467293394478240} is an apocalyptic number.

467293394478240 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 467293394478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919535692787712).

467293394478240 is an abundant number, since it is smaller than the sum of its proper divisors (1371777991097184).

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

467293394478240 is a wasteful number, since it uses less digits than its factorization.

467293394478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19234 (or 19223 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 72.

The spelling of 467293394478240 in words is "four hundred sixty-seven trillion, two hundred ninety-three billion, three hundred ninety-four million, four hundred seventy-eight thousand, two hundred forty".