4465097429760 has 1152 divisors, whose sum is σ = 18280102256640. Its totient is φ = 1021870080000.

The previous prime is 4465097429759. The next prime is 4465097429789. The reversal of 4465097429760 is 679247905644.

It is a happy number.

4465097429760 is a `hidden beast` number, since 4 + 4 + 6 + 50 + 97 + 429 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 483178740 + ... + 483187980.

It is an arithmetic number, because the mean of its divisors is an integer number (15868144320).

Almost surely, 2^{4465097429760} is an apocalyptic number.

4465097429760 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 4465097429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140051128320).

4465097429760 is an abundant number, since it is smaller than the sum of its proper divisors (13815004826880).

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

4465097429760 is a wasteful number, since it uses less digits than its factorization.

4465097429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9354 (or 9334 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 4465097429760 in words is "four trillion, four hundred sixty-five billion, ninety-seven million, four hundred twenty-nine thousand, seven hundred sixty".