10978007040 has 1728 divisors, whose sum is σ = 55056062880. Its totient is φ = 1981808640.

The previous prime is 10978007011. The next prime is 10978007059. The reversal of 10978007040 is 4070087901.

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 = 10978006986 and 10978007004.

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, 645765112 + ... + 645765128.

Almost surely, 2^10978007040 is an apocalyptic number.

10978007040 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 10978007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27528031440).

10978007040 is an abundant number, since it is smaller than the sum of its proper divisors (44078055840).

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

10978007040 is a wasteful number, since it uses less digits than its factorization.

10978007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10978007040 in words is "ten billion, nine hundred seventy-eight million, seven thousand, forty".