10400733383040 has 5760 divisors, whose sum is σ = 54230101279200. Its totient is φ = 1876153466880.

The previous prime is 10400733382987. The next prime is 10400733383063. The reversal of 10400733383040 is 4038333700401.

10400733383040 is a `hidden beast` number, since 10 + 4 + 0 + 0 + 7 + 3 + 338 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 = 10400733382986 and 10400733383004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 75917761852 + ... + 75917761988.

Almost surely, 2^{10400733383040} is an apocalyptic number.

10400733383040 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 10400733383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27115050639600).

10400733383040 is an abundant number, since it is smaller than the sum of its proper divisors (43829367896160).

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

10400733383040 is a wasteful number, since it uses less digits than its factorization.

10400733383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 10400733383040 in words is "ten trillion, four hundred billion, seven hundred thirty-three million, three hundred eighty-three thousand, forty".