1011348405900 has 432 divisors, whose sum is σ = 3939675719616. Its totient is φ = 211686359040.

The previous prime is 1011348405871. The next prime is 1011348405997. The reversal of 1011348405900 is 95048431101.

1011348405900 is a `hidden beast` number, since 10 + 1 + 13 + 4 + 8 + 40 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3835092 + ... + 4090308.

Almost surely, 2^{1011348405900} is an apocalyptic number.

1011348405900 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 1011348405900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969837859808).

1011348405900 is an abundant number, since it is smaller than the sum of its proper divisors (2928327313716).

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

1011348405900 is a wasteful number, since it uses less digits than its factorization.

1011348405900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255298 (or 255288 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1011348405900 in words is "one trillion, eleven billion, three hundred forty-eight million, four hundred five thousand, nine hundred".