1400694349824 has 1344 divisors, whose sum is σ = 5450584780800. Its totient is φ = 351151718400.

The previous prime is 1400694349819. The next prime is 1400694349849. The reversal of 1400694349824 is 4289434960041.

1400694349824 is a `hidden beast` number, since 1 + 40 + 0 + 6 + 94 + 3 + 498 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 3695763267 + ... + 3695763645.

Almost surely, 2^{1400694349824} is an apocalyptic number.

1400694349824 is a gapful number since it is divisible by the number (14) 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 1400694349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725292390400).

1400694349824 is an abundant number, since it is smaller than the sum of its proper divisors (4049890430976).

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

1400694349824 is a wasteful number, since it uses less digits than its factorization.

1400694349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1400694349824 in words is "one trillion, four hundred billion, six hundred ninety-four million, three hundred forty-nine thousand, eight hundred twenty-four".