1294711142400 has 864 divisors, whose sum is σ = 5211151152480. Its totient is φ = 304809246720.

The previous prime is 1294711142399. The next prime is 1294711142419. The reversal of 1294711142400 is 42411174921.

It is a happy number.

1294711142400 is a `hidden beast` number, since 1 + 2 + 9 + 471 + 1 + 142 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137774502 + ... + 137783898.

It is an arithmetic number, because the mean of its divisors is an integer number (6031424945).

Almost surely, 2^{1294711142400} is an apocalyptic number.

1294711142400 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 1294711142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605575576240).

1294711142400 is an abundant number, since it is smaller than the sum of its proper divisors (3916440010080).

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

1294711142400 is a wasteful number, since it uses less digits than its factorization.

1294711142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1294711142400 in words is "one trillion, two hundred ninety-four billion, seven hundred eleven million, one hundred forty-two thousand, four hundred".