10040494464 has 384 divisors, whose sum is σ = 38797274880. Its totient is φ = 2407034880.

The previous prime is 10040494459. The next prime is 10040494517. The reversal of 10040494464 is 46449404001.

10040494464 is a `hidden beast` number, since 100 + 4 + 0 + 4 + 94 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10040494464² (a number of 21 digits) contains 22 as substring.

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

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, 1148799 + ... + 1157505.

It is an arithmetic number, because the mean of its divisors is an integer number (101034570).

Almost surely, 2^10040494464 is an apocalyptic number.

10040494464 is a gapful number since it is divisible by the number (14) 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 10040494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19398637440).

10040494464 is an abundant number, since it is smaller than the sum of its proper divisors (28756780416).

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

10040494464 is a wasteful number, since it uses less digits than its factorization.

10040494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 10040494464 its reverse (46449404001), we get a palindrome (56489898465).

The spelling of 10040494464 in words is "ten billion, forty million, four hundred ninety-four thousand, four hundred sixty-four".