1400096972736 has 672 divisors, whose sum is σ = 5056529587200. Its totient is φ = 359822131200.

The previous prime is 1400096972719. The next prime is 1400096972749. The reversal of 1400096972736 is 6372796900041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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, 3118255840 + ... + 3118256288.

It is an arithmetic number, because the mean of its divisors is an integer number (7524597600).

Almost surely, 2^{1400096972736} is an apocalyptic number.

1400096972736 is a gapful number since it is divisible by the number (16) 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 1400096972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528264793600).

1400096972736 is an abundant number, since it is smaller than the sum of its proper divisors (3656432614464).

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

1400096972736 is a wasteful number, since it uses less digits than its factorization.

1400096972736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1400096972736 in words is "one trillion, four hundred billion, ninety-six million, nine hundred seventy-two thousand, seven hundred thirty-six".