141692016400 has 405 divisors, whose sum is σ = 394202260543. Its totient is φ = 48904486400.

The previous prime is 141692016397. The next prime is 141692016407. The reversal of 141692016400 is 4610296141.

It is a happy number.

The square root of 141692016400 is 376420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1947633424 + 139744382976 = 44132^2 + 373824^2 .

It is a super-2 number, since 2×141692016400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141692016407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2401559571 + ... + 2401559629.

Almost surely, 2^141692016400 is an apocalyptic number.

141692016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141692016400 is the 376420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141692016400

141692016400 is an abundant number, since it is smaller than the sum of its proper divisors (252510244143).

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

141692016400 is a wasteful number, since it uses less digits than its factorization.

141692016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 141692016400 in words is "one hundred forty-one billion, six hundred ninety-two million, sixteen thousand, four hundred".