10020417984 has 336 divisors, whose sum is σ = 31872911616. Its totient is φ = 3110400000.

The previous prime is 10020417973. The next prime is 10020417997. The reversal of 10020417984 is 48971402001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39921859 + ... + 39922109.

It is an arithmetic number, because the mean of its divisors is an integer number (94859856).

Almost surely, 2^10020417984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936455808).

10020417984 is an abundant number, since it is smaller than the sum of its proper divisors (21852493632).

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

10020417984 is a wasteful number, since it uses less digits than its factorization.

10020417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 10020417984 its reverse (48971402001), we get a palindrome (58991819985).

It can be divided in two parts, 1002041 and 7984, that added together give a square (1010025 = 1005²).

The spelling of 10020417984 in words is "ten billion, twenty million, four hundred seventeen thousand, nine hundred eighty-four".