1481745137040 has 800 divisors, whose sum is σ = 6203964349440. Its totient is φ = 320190796800.

The previous prime is 1481745137039. The next prime is 1481745137057. The reversal of 1481745137040 is 407315471841.

1481745137040 is a `hidden beast` number, since 14 + 8 + 17 + 4 + 513 + 70 + 40 = 666.

It is a super-2 number, since 2×1481745137040² (a number of 25 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 492109135 + ... + 492112145.

Almost surely, 2^{1481745137040} is an apocalyptic number.

1481745137040 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 1481745137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101982174720).

1481745137040 is an abundant number, since it is smaller than the sum of its proper divisors (4722219212400).

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

1481745137040 is a wasteful number, since it uses less digits than its factorization.

1481745137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1481745137040 in words is "one trillion, four hundred eighty-one billion, seven hundred forty-five million, one hundred thirty-seven thousand, forty".