1401684691680 has 1920 divisors, whose sum is σ = 6289638018048. Its totient is φ = 287335268352.

The previous prime is 1401684691609. The next prime is 1401684691699. The reversal of 1401684691680 is 861964861041.

1401684691680 is a `hidden beast` number, since 1 + 4 + 0 + 16 + 8 + 469 + 168 + 0 = 666.

It is a super-2 number, since 2×1401684691680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19201160124 + ... + 19201160196.

Almost surely, 2^{1401684691680} is an apocalyptic number.

1401684691680 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 1401684691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144819009024).

1401684691680 is an abundant number, since it is smaller than the sum of its proper divisors (4887953326368).

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

1401684691680 is an frugal number, since it uses more digits than its factorization.

1401684691680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1401684691680 in words is "one trillion, four hundred one billion, six hundred eighty-four million, six hundred ninety-one thousand, six hundred eighty".