1240411049280 has 336 divisors, whose sum is σ = 4864967596944. Its totient is φ = 287371100160.

The previous prime is 1240411049257. The next prime is 1240411049309. The reversal of 1240411049280 is 829401140421.

1240411049280 is a `hidden beast` number, since 1 + 2 + 40 + 41 + 10 + 492 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59294198016 + 1181116851264 = 243504^2 + 1086792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 337951 + ... + 1610910.

It is an arithmetic number, because the mean of its divisors is an integer number (14479070229).

Almost surely, 2^{1240411049280} is an apocalyptic number.

1240411049280 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 1240411049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432483798472).

1240411049280 is an abundant number, since it is smaller than the sum of its proper divisors (3624556547664).

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

1240411049280 is a wasteful number, since it uses less digits than its factorization.

1240411049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948914 (or 1948901 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1240411049280 in words is "one trillion, two hundred forty billion, four hundred eleven million, forty-nine thousand, two hundred eighty".