11407392000 has 576 divisors, whose sum is σ = 42880830720. Its totient is φ = 3023308800.

The previous prime is 11407391999. The next prime is 11407392001. The reversal of 11407392000 is 29370411.

It is an interprime number because it is at equal distance from previous prime (11407391999) and next prime (11407392001).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11407392001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69983919 + ... + 69984081.

Almost surely, 2^11407392000 is an apocalyptic number.

11407392000 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 11407392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21440415360).

11407392000 is an abundant number, since it is smaller than the sum of its proper divisors (31473438720).

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

11407392000 is an frugal number, since it uses more digits than its factorization.

11407392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 11407392000 in words is "eleven billion, four hundred seven million, three hundred ninety-two thousand".