142360214990400 has 2835 divisors, whose sum is σ = 605895739769089. Its totient is φ = 32759071488000.

The previous prime is 142360214990321. The next prime is 142360214990431. The reversal of 142360214990400 is 4099412063241.

The square root of 142360214990400 is 11931480.

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

142360214990400 is a `hidden beast` number, since 1 + 4 + 23 + 6 + 0 + 214 + 9 + 9 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51249677396544 + 91110537593856 = 7158888^2 + 9545184^2 .

It is a super-2 number, since 2×142360214990400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1086719198335 + ... + 1086719198465.

Almost surely, 2^{142360214990400} is an apocalyptic number.

142360214990400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142360214990400 is the 11931480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142360214990400

142360214990400 is an abundant number, since it is smaller than the sum of its proper divisors (463535524778689).

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

142360214990400 is a wasteful number, since it uses less digits than its factorization.

142360214990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 142360214990400 in words is "one hundred forty-two trillion, three hundred sixty billion, two hundred fourteen million, nine hundred ninety thousand, four hundred".