20029124966400 has 1728 divisors, whose sum is σ = 83675542860000. Its totient is φ = 4686977433600.

The previous prime is 20029124966381. The next prime is 20029124966419. The reversal of 20029124966400 is 466942192002.

20029124966400 is a `hidden beast` number, since 20 + 0 + 291 + 249 + 66 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20029124966381) and next prime (20029124966419).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×20029124966400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4850839536 + ... + 4850843664.

Almost surely, 2^{20029124966400} is an apocalyptic number.

20029124966400 is a gapful number since it is divisible by the number (20) 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 20029124966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41837771430000).

20029124966400 is an abundant number, since it is smaller than the sum of its proper divisors (63646417893600).

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

20029124966400 is a wasteful number, since it uses less digits than its factorization.

20029124966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4179 counting only the distinct ones).

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

The spelling of 20029124966400 in words is "twenty trillion, twenty-nine billion, one hundred twenty-four million, nine hundred sixty-six thousand, four hundred".