48034101335040 has 528 divisors, whose sum is σ = 179275784702976. Its totient is φ = 11856936960000.

The previous prime is 48034101335029. The next prime is 48034101335081. The reversal of 48034101335040 is 4053310143084.

48034101335040 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 4 + 10 + 133 + 504 + 0 = 666.

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 = 48034101334986 and 48034101335004.

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, 32124040 + ... + 33586040.

Almost surely, 2^{48034101335040} is an apocalyptic number.

48034101335040 is a gapful number since it is divisible by the number (40) 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 48034101335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89637892351488).

48034101335040 is an abundant number, since it is smaller than the sum of its proper divisors (131241683367936).

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

48034101335040 is a wasteful number, since it uses less digits than its factorization.

48034101335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462086 (or 1462065 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 48034101335040 in words is "forty-eight trillion, thirty-four billion, one hundred one million, three hundred thirty-five thousand, forty".