1445406101400 has 96 divisors (see below), whose sum is σ = 4480941772800. Its totient is φ = 385425897600.

The previous prime is 1445406101393. The next prime is 1445406101411. The reversal of 1445406101400 is 41016045441.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 27856681 + ... + 27908519.

It is an arithmetic number, because the mean of its divisors is an integer number (46676476800).

Almost surely, 2^{1445406101400} is an apocalyptic number.

1445406101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1445406101400 is an abundant number, since it is smaller than the sum of its proper divisors (3035535671400).

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

1445406101400 is a wasteful number, since it uses less digits than its factorization.

1445406101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98329 (or 98320 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 1445406101400 in words is "one trillion, four hundred forty-five billion, four hundred six million, one hundred one thousand, four hundred".