10772984040 has 512 divisors, whose sum is σ = 42287616000. Its totient is φ = 2131992576.

The previous prime is 10772984029. The next prime is 10772984041. The reversal of 10772984040 is 4048927701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10772983983 and 10772984001.

It is not an unprimeable number, because it can be changed into a prime (10772984041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28424571 + ... + 28424949.

It is an arithmetic number, because the mean of its divisors is an integer number (82593000).

Almost surely, 2^10772984040 is an apocalyptic number.

10772984040 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 10772984040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143808000).

10772984040 is an abundant number, since it is smaller than the sum of its proper divisors (31514631960).

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

10772984040 is a wasteful number, since it uses less digits than its factorization.

10772984040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 10772984040 in words is "ten billion, seven hundred seventy-two million, nine hundred eighty-four thousand, forty".