1401171932160 has 2112 divisors, whose sum is σ = 6702967724544. Its totient is φ = 261174067200.

The previous prime is 1401171932141. The next prime is 1401171932177. The reversal of 1401171932160 is 612391711041.

1401171932160 is a `hidden beast` number, since 1 + 401 + 1 + 7 + 1 + 93 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1706664550 + ... + 1706665370.

Almost surely, 2^{1401171932160} is an apocalyptic number.

1401171932160 is a gapful number since it is divisible by the number (10) 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 1401171932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351483862272).

1401171932160 is an abundant number, since it is smaller than the sum of its proper divisors (5301795792384).

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

1401171932160 is a wasteful number, since it uses less digits than its factorization.

1401171932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1401171932160 in words is "one trillion, four hundred one billion, one hundred seventy-one million, nine hundred thirty-two thousand, one hundred sixty".