1397942084352 has 576 divisors, whose sum is σ = 4370202031104. Its totient is φ = 392398110720.

The previous prime is 1397942084327. The next prime is 1397942084353. The reversal of 1397942084352 is 2534802497931.

It is a junction number, because it is equal to n+sod(n) for n = 1397942084292 and 1397942084301.

It is not an unprimeable number, because it can be changed into a prime (1397942084353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2422776288 + ... + 2422776864.

It is an arithmetic number, because the mean of its divisors is an integer number (7587156304).

Almost surely, 2^{1397942084352} is an apocalyptic number.

1397942084352 is a gapful number since it is divisible by the number (12) 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 1397942084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185101015552).

1397942084352 is an abundant number, since it is smaller than the sum of its proper divisors (2972259946752).

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

1397942084352 is a wasteful number, since it uses less digits than its factorization.

1397942084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 1397942084352 in words is "one trillion, three hundred ninety-seven billion, nine hundred forty-two million, eighty-four thousand, three hundred fifty-two".