10420945920 has 1056 divisors, whose sum is σ = 47044972800. Its totient is φ = 2141061120.

The previous prime is 10420945907. The next prime is 10420945921. The reversal of 10420945920 is 2954902401.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×10420945920² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420945921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117089236 + ... + 117089324.

Almost surely, 2^10420945920 is an apocalyptic number.

10420945920 is a gapful number since it is divisible by the number (10) 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 10420945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522486400).

10420945920 is an abundant number, since it is smaller than the sum of its proper divisors (36624026880).

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

10420945920 is a wasteful number, since it uses less digits than its factorization.

10420945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10420945920 in words is "ten billion, four hundred twenty million, nine hundred forty-five thousand, nine hundred twenty".