1601482559040 has 2016 divisors, whose sum is σ = 7217314430976. Its totient is φ = 318507171840.

The previous prime is 1601482559009. The next prime is 1601482559057. The reversal of 1601482559040 is 409552841061.

1601482559040 is a `hidden beast` number, since 1 + 6 + 0 + 14 + 8 + 2 + 5 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×1601482559040³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 287 ways as a sum of consecutive naturals, for example, 8384725345 + ... + 8384725535.

Almost surely, 2^{1601482559040} is an apocalyptic number.

1601482559040 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 1601482559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608657215488).

1601482559040 is an abundant number, since it is smaller than the sum of its proper divisors (5615831871936).

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

1601482559040 is a wasteful number, since it uses less digits than its factorization.

1601482559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1601482559040 in words is "one trillion, six hundred one billion, four hundred eighty-two million, five hundred fifty-nine thousand, forty".