1401295261968 has 120 divisors (see below), whose sum is σ = 4557885508800. Its totient is φ = 393584124672.

The previous prime is 1401295261963. The next prime is 1401295261997. The reversal of 1401295261968 is 8691625921041.

1401295261968 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 29 + 526 + 1 + 96 + 8 = 666.

It is a super-2 number, since 2×1401295261968² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1401295261963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11721663 + ... + 11840606.

It is an arithmetic number, because the mean of its divisors is an integer number (37982379240).

Almost surely, 2^{1401295261968} is an apocalyptic number.

1401295261968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1401295261968 is an abundant number, since it is smaller than the sum of its proper divisors (3156590246832).

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

1401295261968 is a wasteful number, since it uses less digits than its factorization.

1401295261968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23562349 (or 23562340 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1401295261968 in words is "one trillion, four hundred one billion, two hundred ninety-five million, two hundred sixty-one thousand, nine hundred sixty-eight".