149769209990400 has 2592 divisors, whose sum is σ = 697294586290176. Its totient is φ = 27799511040000.

The previous prime is 149769209990383. The next prime is 149769209990429. The reversal of 149769209990400 is 4099902967941.

It is a super-3 number, since 3×149769209990400³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4170548445 + ... + 4170584355.

Almost surely, 2^{149769209990400} is an apocalyptic number.

149769209990400 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 149769209990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348647293145088).

149769209990400 is an abundant number, since it is smaller than the sum of its proper divisors (547525376299776).

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

149769209990400 is a wasteful number, since it uses less digits than its factorization.

149769209990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36009 (or 35983 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 69.

The spelling of 149769209990400 in words is "one hundred forty-nine trillion, seven hundred sixty-nine billion, two hundred nine million, nine hundred ninety thousand, four hundred".