1060466906400 has 576 divisors, whose sum is σ = 3938453922816. Its totient is φ = 245335552000.

The previous prime is 1060466906293. The next prime is 1060466906419. The reversal of 1060466906400 is 46096640601.

It is a super-2 number, since 2×1060466906400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298133422 + ... + 298136978.

It is an arithmetic number, because the mean of its divisors is an integer number (6837593616).

Almost surely, 2^{1060466906400} is an apocalyptic number.

1060466906400 is a gapful number since it is divisible by the number (10) 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 1060466906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969226961408).

1060466906400 is an abundant number, since it is smaller than the sum of its proper divisors (2877987016416).

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

1060466906400 is a wasteful number, since it uses less digits than its factorization.

1060466906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 1060466906400 in words is "one trillion, sixty billion, four hundred sixty-six million, nine hundred six thousand, four hundred".