1781015040000 has 1560 divisors, whose sum is σ = 7637710400320. Its totient is φ = 406093824000.

The previous prime is 1781015039971. The next prime is 1781015040001. The reversal of 1781015040000 is 405101871.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1781015040001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4354559796 + ... + 4354560204.

Almost surely, 2^{1781015040000} is an apocalyptic number.

1781015040000 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 1781015040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818855200160).

1781015040000 is an abundant number, since it is smaller than the sum of its proper divisors (5856695360320).

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

1781015040000 is an frugal number, since it uses more digits than its factorization.

1781015040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 1781015040000 in words is "one trillion, seven hundred eighty-one billion, fifteen million, forty thousand".