1464255740400 has 240 divisors, whose sum is σ = 5030529632640. Its totient is φ = 362937369600.

The previous prime is 1464255740317. The next prime is 1464255740443. The reversal of 1464255740400 is 40475524641.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602535 + ... + 1814265.

It is an arithmetic number, because the mean of its divisors is an integer number (20960540136).

Almost surely, 2^{1464255740400} is an apocalyptic number.

1464255740400 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 1464255740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515264816320).

1464255740400 is an abundant number, since it is smaller than the sum of its proper divisors (3566273892240).

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

1464255740400 is a wasteful number, since it uses less digits than its factorization.

1464255740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211824 (or 1211813 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 1464255740400 in words is "one trillion, four hundred sixty-four billion, two hundred fifty-five million, seven hundred forty thousand, four hundred".