467171007252000 has 384 divisors, whose sum is σ = 1648509574053888. Its totient is φ = 115318507392000.

The previous prime is 467171007251989. The next prime is 467171007252007. The reversal of 467171007252000 is 252700171764.

It is not an unprimeable number, because it can be changed into a prime (467171007252007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18744784 + ... + 35856783.

It is an arithmetic number, because the mean of its divisors is an integer number (4292993682432).

Almost surely, 2^{467171007252000} is an apocalyptic number.

467171007252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467171007252000 is an abundant number, since it is smaller than the sum of its proper divisors (1181338566801888).

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

467171007252000 is a wasteful number, since it uses less digits than its factorization.

467171007252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54601649 (or 54601631 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 467171007252000 in words is "four hundred sixty-seven trillion, one hundred seventy-one billion, seven million, two hundred fifty-two thousand".