10988429414400 has 585 divisors, whose sum is σ = 40739164717273. Its totient is φ = 2927702016000.

The previous prime is 10988429414383. The next prime is 10988429414419. The reversal of 10988429414400 is 441492488901.

The square root of 10988429414400 is 3314880.

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

10988429414400 is a `hidden beast` number, since 1 + 0 + 98 + 84 + 29 + 414 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3955834589184 + 7032594825216 = 1988928^2 + 2651904^2 .

It is a super-2 number, since 2×10988429414400² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9546853825 + ... + 9546854975.

Almost surely, 2^{10988429414400} is an apocalyptic number.

10988429414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10988429414400 is the 3314880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10988429414400

10988429414400 is an abundant number, since it is smaller than the sum of its proper divisors (29750735302873).

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

10988429414400 is an frugal number, since it uses more digits than its factorization.

10988429414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10988429414400 in words is "ten trillion, nine hundred eighty-eight billion, four hundred twenty-nine million, four hundred fourteen thousand, four hundred".