10477390105440 has 288 divisors, whose sum is σ = 36003985145856. Its totient is φ = 2774456755200.

The previous prime is 10477390105421. The next prime is 10477390105489. The reversal of 10477390105440 is 4450109377401.

It is a happy number.

10477390105440 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 7 + 3 + 90 + 10 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 740811009 + ... + 740825151.

It is an arithmetic number, because the mean of its divisors is an integer number (125013837312).

Almost surely, 2^{10477390105440} is an apocalyptic number.

10477390105440 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 10477390105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18001992572928).

10477390105440 is an abundant number, since it is smaller than the sum of its proper divisors (25526595040416).

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

10477390105440 is a wasteful number, since it uses less digits than its factorization.

10477390105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17722 (or 17711 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10477390105440 in words is "ten trillion, four hundred seventy-seven billion, three hundred ninety million, one hundred five thousand, four hundred forty".