20003434799040 has 3584 divisors, whose sum is σ = 96658956288000. Its totient is φ = 3770700595200.

The previous prime is 20003434798987. The next prime is 20003434799057. The reversal of 20003434799040 is 4099743430002.

20003434799040 is a `hidden beast` number, since 20 + 0 + 0 + 3 + 434 + 79 + 90 + 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 511 ways as a sum of consecutive naturals, for example, 27068246991 + ... + 27068247729.

Almost surely, 2^{20003434799040} is an apocalyptic number.

20003434799040 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 20003434799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48329478144000).

20003434799040 is an abundant number, since it is smaller than the sum of its proper divisors (76655521488960).

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

20003434799040 is a wasteful number, since it uses less digits than its factorization.

20003434799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 20003434799040 in words is "twenty trillion, three billion, four hundred thirty-four million, seven hundred ninety-nine thousand, forty".