20220132039840 has 576 divisors, whose sum is σ = 71833992048000. Its totient is φ = 5176168538112.

The previous prime is 20220132039797. The next prime is 20220132039883. The reversal of 20220132039840 is 4893023102202.

20220132039840 is a `hidden beast` number, since 2 + 0 + 2 + 201 + 3 + 20 + 398 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20220132039797) and next prime (20220132039883).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20220132039795 and 20220132039804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 761889291 + ... + 761915829.

It is an arithmetic number, because the mean of its divisors is an integer number (124711791750).

Almost surely, 2^{20220132039840} is an apocalyptic number.

20220132039840 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 20220132039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35916996024000).

20220132039840 is an abundant number, since it is smaller than the sum of its proper divisors (51613860008160).

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

20220132039840 is a wasteful number, since it uses less digits than its factorization.

20220132039840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26829 (or 26818 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20220132039840 in words is "twenty trillion, two hundred twenty billion, one hundred thirty-two million, thirty-nine thousand, eight hundred forty".