1641488509440 has 1200 divisors, whose sum is σ = 6576050105856. Its totient is φ = 390765772800.

The previous prime is 1641488509429. The next prime is 1641488509457. The reversal of 1641488509440 is 449058841461.

1641488509440 is a `hidden beast` number, since 1 + 6 + 4 + 14 + 88 + 509 + 4 + 40 = 666.

It is a super-2 number, since 2×1641488509440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1086358285 + ... + 1086359795.

Almost surely, 2^{1641488509440} is an apocalyptic number.

1641488509440 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 1641488509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288025052928).

1641488509440 is an abundant number, since it is smaller than the sum of its proper divisors (4934561596416).

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

1641488509440 is a wasteful number, since it uses less digits than its factorization.

1641488509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1641488509440 in words is "one trillion, six hundred forty-one billion, four hundred eighty-eight million, five hundred nine thousand, four hundred forty".