10940297969664 has 816 divisors, whose sum is σ = 39037557499200. Its totient is φ = 2941004021760.

The previous prime is 10940297969617. The next prime is 10940297969687. The reversal of 10940297969664 is 46696979204901.

10940297969664 is a `hidden beast` number, since 1 + 0 + 9 + 402 + 9 + 79 + 6 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10940297969592 and 10940297969601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3439262154 + ... + 3439265334.

Almost surely, 2^{10940297969664} is an apocalyptic number.

10940297969664 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 10940297969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518778749600).

10940297969664 is an abundant number, since it is smaller than the sum of its proper divisors (28097259529536).

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

10940297969664 is an frugal number, since it uses more digits than its factorization.

10940297969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 10940297969664 in words is "ten trillion, nine hundred forty billion, two hundred ninety-seven million, nine hundred sixty-nine thousand, six hundred sixty-four".