920440928010240 has 5440 divisors, whose sum is σ = 4419938597437440. Its totient is φ = 177771632394240.

The previous prime is 920440928010239. The next prime is 920440928010257. The reversal of 920440928010240 is 42010829044029.

920440928010240 is a `hidden beast` number, since 9 + 2 + 0 + 440 + 92 + 80 + 1 + 0 + 2 + 40 = 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 319 ways as a sum of consecutive naturals, for example, 1422628945597 + ... + 1422628946243.

Almost surely, 2^{920440928010240} is an apocalyptic number.

920440928010240 is a gapful number since it is divisible by the number (90) 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 920440928010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209969298718720).

920440928010240 is an abundant number, since it is smaller than the sum of its proper divisors (3499497669427200).

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

920440928010240 is a wasteful number, since it uses less digits than its factorization.

920440928010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 920440928010240 in words is "nine hundred twenty trillion, four hundred forty billion, nine hundred twenty-eight million, ten thousand, two hundred forty".