1263546120240 has 120 divisors (see below), whose sum is σ = 4258404118800. Its totient is φ = 335754957312.

The previous prime is 1263546120229. The next prime is 1263546120247. The reversal of 1263546120240 is 420216453621.

1263546120240 is a `hidden beast` number, since 1 + 2 + 6 + 35 + 4 + 612 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1263546120195 and 1263546120204.

It is not an unprimeable number, because it can be changed into a prime (1263546120247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2896815 + ... + 3304334.

It is an arithmetic number, because the mean of its divisors is an integer number (35486700990).

Almost surely, 2^{1263546120240} is an apocalyptic number.

1263546120240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1263546120240 is an abundant number, since it is smaller than the sum of its proper divisors (2994857998560).

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

1263546120240 is a wasteful number, since it uses less digits than its factorization.

1263546120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201451 (or 6201442 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1263546120240 in words is "one trillion, two hundred sixty-three billion, five hundred forty-six million, one hundred twenty thousand, two hundred forty".