84208142400 has 168 divisors, whose sum is σ = 278719568544. Its totient is φ = 22256640000.

The previous prime is 84208142393. The next prime is 84208142423. The reversal of 84208142400 is 424180248.

It is a super-2 number, since 2×84208142400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464775 + ... + 620025.

Almost surely, 2^84208142400 is an apocalyptic number.

84208142400 is a gapful number since it is divisible by the number (80) 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 84208142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139359784272).

84208142400 is an abundant number, since it is smaller than the sum of its proper divisors (194511426144).

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

84208142400 is a wasteful number, since it uses less digits than its factorization.

84208142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155389 (or 155374 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 84208142400 in words is "eighty-four billion, two hundred eight million, one hundred forty-two thousand, four hundred".