464212953469440 has 1280 divisors, whose sum is σ = 1974311533117440. Its totient is φ = 101150247813120.

The previous prime is 464212953469439. The next prime is 464212953469451. The reversal of 464212953469440 is 44964359212464.

464212953469440 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 1 + 2 + 9 + 534 + 6 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1004704714 + ... + 1005166646.

It is an arithmetic number, because the mean of its divisors is an integer number (1542430885248).

Almost surely, 2^{464212953469440} is an apocalyptic number.

464212953469440 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 464212953469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987155766558720).

464212953469440 is an abundant number, since it is smaller than the sum of its proper divisors (1510098579648000).

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

464212953469440 is a wasteful number, since it uses less digits than its factorization.

464212953469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462070 (or 462048 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 464212953469440 in words is "four hundred sixty-four trillion, two hundred twelve billion, nine hundred fifty-three million, four hundred sixty-nine thousand, four hundred forty".