467745741120 has 224 divisors, whose sum is σ = 1797087437568. Its totient is φ = 100624269312.

The previous prime is 467745741101. The next prime is 467745741143. The reversal of 467745741120 is 21147547764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 467745741120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932967 + ... + 2161446.

Almost surely, 2^467745741120 is an apocalyptic number.

467745741120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467745741120 is an abundant number, since it is smaller than the sum of its proper divisors (1329341696448).

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

467745741120 is a wasteful number, since it uses less digits than its factorization.

467745741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094457 (or 4094447 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 467745741120 in words is "four hundred sixty-seven billion, seven hundred forty-five million, seven hundred forty-one thousand, one hundred twenty".