10478207040 has 336 divisors, whose sum is σ = 40979457792. Its totient is φ = 2253963264.

The previous prime is 10478207017. The next prime is 10478207053. The reversal of 10478207040 is 4070287401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10478206992 and 10478207010.

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, 793129 + ... + 806231.

It is an arithmetic number, because the mean of its divisors is an integer number (121962672).

Almost surely, 2^10478207040 is an apocalyptic number.

10478207040 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 10478207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489728896).

10478207040 is an abundant number, since it is smaller than the sum of its proper divisors (30501250752).

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

10478207040 is a wasteful number, since it uses less digits than its factorization.

10478207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13154 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 10478207040 in words is "ten billion, four hundred seventy-eight million, two hundred seven thousand, forty".