1040307346980 has 180 divisors, whose sum is σ = 3587134527900. Its totient is φ = 252195672960.

The previous prime is 1040307346913. The next prime is 1040307346987. The reversal of 1040307346980 is 896437030401.

1040307346980 is a `hidden beast` number, since 1 + 0 + 40 + 3 + 0 + 73 + 469 + 80 = 666.

1040307346980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 160602165504 + 879705181476 = 400752^2 + 937926^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1040307346980² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1040307346987) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2457555 + ... + 2849594.

It is an arithmetic number, because the mean of its divisors is an integer number (19928525155).

Almost surely, 2^{1040307346980} is an apocalyptic number.

1040307346980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040307346980 is an abundant number, since it is smaller than the sum of its proper divisors (2546827180920).

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

1040307346980 is a wasteful number, since it uses less digits than its factorization.

1040307346980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307192 (or 5307170 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1040307346980 in words is "one trillion, forty billion, three hundred seven million, three hundred forty-six thousand, nine hundred eighty".