10471070400 has 336 divisors, whose sum is σ = 39503543040. Its totient is φ = 2378649600.

The previous prime is 10471070329. The next prime is 10471070429. The reversal of 10471070400 is 407017401.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6013530 + ... + 6015270.

Almost surely, 2^10471070400 is an apocalyptic number.

10471070400 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 10471070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751771520).

10471070400 is an abundant number, since it is smaller than the sum of its proper divisors (29032472640).

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

10471070400 is a wasteful number, since it uses less digits than its factorization.

10471070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 10471070400 its reverse (407017401), we get a palindrome (10878087801).

The spelling of 10471070400 in words is "ten billion, four hundred seventy-one million, seventy thousand, four hundred".