33455030126040 has 192 divisors, whose sum is σ = 109815116580000. Its totient is φ = 8832227328000.

The previous prime is 33455030125987. The next prime is 33455030126101. The reversal of 33455030126040 is 4062103055433.

33455030126040 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 5 + 0 + 30 + 12 + 604 + 0 = 666.

It is a super-2 number, since 2×33455030126040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33455030125986 and 33455030126004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490789560 + ... + 490857720.

Almost surely, 2^{33455030126040} is an apocalyptic number.

33455030126040 is a gapful number since it is divisible by the number (30) 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 33455030126040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54907558290000).

33455030126040 is an abundant number, since it is smaller than the sum of its proper divisors (76360086453960).

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

33455030126040 is a wasteful number, since it uses less digits than its factorization.

33455030126040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81778 (or 81771 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 33455030126040 in words is "thirty-three trillion, four hundred fifty-five billion, thirty million, one hundred twenty-six thousand, forty".