1264136540040 has 192 divisors, whose sum is σ = 4483535846400. Its totient is φ = 306348134400.

The previous prime is 1264136539949. The next prime is 1264136540087. The reversal of 1264136540040 is 400456314621.

1264136540040 is a `hidden beast` number, since 1 + 2 + 6 + 41 + 36 + 540 + 0 + 40 = 666.

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 = 1264136539977 and 1264136540004.

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, 11345400 + ... + 11456280.

It is an arithmetic number, because the mean of its divisors is an integer number (23351749200).

Almost surely, 2^{1264136540040} is an apocalyptic number.

1264136540040 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 1264136540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241767923200).

1264136540040 is an abundant number, since it is smaller than the sum of its proper divisors (3219399306360).

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

1264136540040 is a wasteful number, since it uses less digits than its factorization.

1264136540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113788 (or 113781 counting only the distinct ones).

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

The spelling of 1264136540040 in words is "one trillion, two hundred sixty-four billion, one hundred thirty-six million, five hundred forty thousand, forty".