1401411378900 has 288 divisors, whose sum is σ = 4471873781760. Its totient is φ = 336663774720.

The previous prime is 1401411378859. The next prime is 1401411378901. The reversal of 1401411378900 is 98731141041.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401411378901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265466461 + ... + 265471739.

It is an arithmetic number, because the mean of its divisors is an integer number (15527339520).

Almost surely, 2^{1401411378900} is an apocalyptic number.

1401411378900 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 1401411378900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235936890880).

1401411378900 is an abundant number, since it is smaller than the sum of its proper divisors (3070462402860).

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

1401411378900 is a wasteful number, since it uses less digits than its factorization.

1401411378900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 1401411378900 in words is "one trillion, four hundred one billion, four hundred eleven million, three hundred seventy-eight thousand, nine hundred".