10472227773840 has 1200 divisors, whose sum is σ = 43269870676032. Its totient is φ = 2339684186112.

The previous prime is 10472227773829. The next prime is 10472227773857. The reversal of 10472227773840 is 4837772227401.

10472227773840 is a `hidden beast` number, since 1 + 0 + 472 + 2 + 27 + 7 + 73 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5166366907 + ... + 5166368933.

Almost surely, 2^{10472227773840} is an apocalyptic number.

10472227773840 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 10472227773840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634935338016).

10472227773840 is an abundant number, since it is smaller than the sum of its proper divisors (32797642902192).

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

10472227773840 is a wasteful number, since it uses less digits than its factorization.

10472227773840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 10472227773840 in words is "ten trillion, four hundred seventy-two billion, two hundred twenty-seven million, seven hundred seventy-three thousand, eight hundred forty".