1265746487040 has 3024 divisors, whose sum is σ = 5867976683520. Its totient is φ = 259601448960.

The previous prime is 1265746486969. The next prime is 1265746487063. The reversal of 1265746487040 is 407846475621.

1265746487040 is a `hidden beast` number, since 1 + 2 + 6 + 574 + 64 + 8 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×1265746487040² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 26930776297 + ... + 26930776343.

It is an arithmetic number, because the mean of its divisors is an integer number (1940468480).

Almost surely, 2^{1265746487040} is an apocalyptic number.

1265746487040 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 1265746487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933988341760).

1265746487040 is an abundant number, since it is smaller than the sum of its proper divisors (4602230196480).

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

1265746487040 is an equidigital number, since it uses as much as digits as its factorization.

1265746487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 1265746487040 in words is "one trillion, two hundred sixty-five billion, seven hundred forty-six million, four hundred eighty-seven thousand, forty".