10420087436640 has 768 divisors, whose sum is σ = 43942822963200. Its totient is φ = 2252843311104.

The previous prime is 10420087436639. The next prime is 10420087436699. The reversal of 10420087436640 is 4663478002401.

10420087436640 is a `hidden beast` number, since 1 + 0 + 4 + 200 + 8 + 7 + 436 + 6 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 375173794 + ... + 375201566.

It is an arithmetic number, because the mean of its divisors is an integer number (57217217400).

Almost surely, 2^{10420087436640} is an apocalyptic number.

10420087436640 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 10420087436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21971411481600).

10420087436640 is an abundant number, since it is smaller than the sum of its proper divisors (33522735526560).

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

10420087436640 is a wasteful number, since it uses less digits than its factorization.

10420087436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28476 (or 28462 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 10420087436640 in words is "ten trillion, four hundred twenty billion, eighty-seven million, four hundred thirty-six thousand, six hundred forty".