1136906261400 has 576 divisors, whose sum is σ = 4468513996800. Its totient is φ = 236978058240.

The previous prime is 1136906261383. The next prime is 1136906261417. The reversal of 1136906261400 is 41626096311.

It is an interprime number because it is at equal distance from previous prime (1136906261383) and next prime (1136906261417).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31704681 + ... + 31740519.

It is an arithmetic number, because the mean of its divisors is an integer number (7757836800).

Almost surely, 2^{1136906261400} is an apocalyptic number.

1136906261400 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 1136906261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234256998400).

1136906261400 is an abundant number, since it is smaller than the sum of its proper divisors (3331607735400).

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

1136906261400 is a wasteful number, since it uses less digits than its factorization.

1136906261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35968 (or 35952 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 1136906261400 in words is "one trillion, one hundred thirty-six billion, nine hundred six million, two hundred sixty-one thousand, four hundred".