1275977040 has 240 divisors, whose sum is σ = 4331812032. Its totient is φ = 310542336.

The previous prime is 1275977023. The next prime is 1275977089. The reversal of 1275977040 is 407795721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1275976983 and 1275977001.

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, 6611184 + ... + 6611376.

Almost surely, 2^1275977040 is an apocalyptic number.

1275977040 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 1275977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165906016).

1275977040 is an abundant number, since it is smaller than the sum of its proper divisors (3055834992).

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

1275977040 is a wasteful number, since it uses less digits than its factorization.

1275977040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 1275977040 is about 35720.8208192365. The cubic root of 1275977040 is about 1084.6283535340.

The spelling of 1275977040 in words is "one billion, two hundred seventy-five million, nine hundred seventy-seven thousand, forty".