1007137533400 has 192 divisors, whose sum is σ = 2478443824800. Its totient is φ = 379551744000.

The previous prime is 1007137533331. The next prime is 1007137533431. The reversal of 1007137533400 is 43357317001.

It is a super-2 number, since 2×1007137533400² (a number of 25 digits) contains 22 as substring.

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, 762404740 + ... + 762406060.

Almost surely, 2^{1007137533400} is an apocalyptic number.

1007137533400 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 1007137533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239221912400).

1007137533400 is an abundant number, since it is smaller than the sum of its proper divisors (1471306291400).

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

1007137533400 is a wasteful number, since it uses less digits than its factorization.

1007137533400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The spelling of 1007137533400 in words is "one trillion, seven billion, one hundred thirty-seven million, five hundred thirty-three thousand, four hundred".