1007611508400 has 480 divisors, whose sum is σ = 3918304212480. Its totient is φ = 216069980160.

The previous prime is 1007611508399. The next prime is 1007611508401. The reversal of 1007611508400 is 48051167001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1007611508399) and next prime (1007611508401).

It is not an unprimeable number, because it can be changed into a prime (1007611508401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45256471 + ... + 45278729.

It is an arithmetic number, because the mean of its divisors is an integer number (8163133776).

Almost surely, 2^{1007611508400} is an apocalyptic number.

1007611508400 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 1007611508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959152106240).

1007611508400 is an abundant number, since it is smaller than the sum of its proper divisors (2910692704080).

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

1007611508400 is a wasteful number, since it uses less digits than its factorization.

1007611508400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22621 (or 22610 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 1007611508400 in words is "one trillion, seven billion, six hundred eleven million, five hundred eight thousand, four hundred".