10077343124940 has 864 divisors, whose sum is σ = 39871022929920. Its totient is φ = 2011712661504.

The previous prime is 10077343124909. The next prime is 10077343124977. The reversal of 10077343124940 is 4942134377001.

10077343124940 is a `hidden beast` number, since 100 + 7 + 7 + 3 + 43 + 12 + 494 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5368855282 + ... + 5368857158.

It is an arithmetic number, because the mean of its divisors is an integer number (46147017280).

Almost surely, 2^{10077343124940} is an apocalyptic number.

10077343124940 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 10077343124940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19935511464960).

10077343124940 is an abundant number, since it is smaller than the sum of its proper divisors (29793679804980).

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

10077343124940 is a wasteful number, since it uses less digits than its factorization.

10077343124940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10077343124940 in words is "ten trillion, seventy-seven billion, three hundred forty-three million, one hundred twenty-four thousand, nine hundred forty".