20401829173440 has 1120 divisors, whose sum is σ = 85884941507904. Its totient is φ = 4532007075840.

The previous prime is 20401829173433. The next prime is 20401829173487. The reversal of 20401829173440 is 4437192810402.

20401829173440 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 18 + 29 + 173 + 440 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 507778632 + ... + 507818808.

Almost surely, 2^{20401829173440} is an apocalyptic number.

20401829173440 is a gapful number since it is divisible by the number (20) 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 20401829173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42942470753952).

20401829173440 is an abundant number, since it is smaller than the sum of its proper divisors (65483112334464).

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

20401829173440 is a wasteful number, since it uses less digits than its factorization.

20401829173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40367 (or 40348 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20401829173440 in words is "twenty trillion, four hundred one billion, eight hundred twenty-nine million, one hundred seventy-three thousand, four hundred forty".